CBSE Questions for Class 10 Maths Real Numbers Quiz 2 - MCQExams.com

The number of possible pairs of number, whose product is 5400 and the HCF is 30 is
  • 1
  • 2
  • 3
  • 4
$$\dfrac{35}{50}$$ has a non-terminating decimal expansion.
  • True
  • False
According to Euclid's division algorithm, HCF of any two positive integers $$a$$ and $$b$$ with $$a > b$$ is obtained by applying Euclid's division lemma to $$a$$ and $$b$$ to find $$q$$ and $$r$$ such that $$a = bq + r$$, where $$r$$ must satisfy
  • $$1< r< b$$
  • $$0< r< b$$
  • $$0\leq r< b$$
  • $$0< r\leq b$$
  • Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  • Both Assertion and Reason are correct, but Reason is not the correct explanation for Assertion.
  • Assertion is correct, but Reason is incorrect.
  • Assertion is incorrect, but Reason is correct.
The decimal representation of $$\dfrac {93}{1500}$$ will be:
  • terminating
  • non-terminating
  • non-terminating, repeating
  • non-terminating, non-repeating
The rational number which can be expressed as a terminating decimal is:
  • $$\displaystyle \frac{1}{6}$$
  • $$\displaystyle \frac{1}{12}$$
  • $$\displaystyle \frac{1}{15}$$
  • $$\displaystyle \frac{1}{20}$$
State True or False.
$$-\displaystyle\frac{2}{5}\sqrt{8}$$ is an irrational number.
  • True
  • False
The HCF of $$256,442$$ and $$940$$ is
  • $$2$$
  • $$14$$
  • $$142$$
  • None of these
Which of the following are not rational?
  • $$\dfrac{2}{\sqrt{3}}$$
  • $$\sqrt{16}$$
  • $$\pi$$
  • $$2 + \sqrt{25}$$
Classify the following numbers as rational or irrational : $$2-\sqrt{5}$$
  • Irrational number
  • Rational number
  • Less Data
  • None of the above
State TRUE or FALSE
$$(2+\sqrt{3})(2-\sqrt{3})$$ is Irrational
  • True
  • False
State TRUE or FALSE 
$${(2+\sqrt{3})}^{2}$$ is Irrational
  • True
  • False
Every irrational number is:
  • a surd
  • a prime number
  • not a surd
  • none
HCF of the two numbers =
  • Product of numbers + their LCM
  • Product of numbers - their LCM
  • Product of numbers $$\times$$ their LCM
  • Product of numbers $$\div$$ their LCM
  • Answer required

$$20$$ is written as the product of primes as :
  • $${2\times 5 }$$
  • $${2\times 2\times 3\times 5}$$
  • $${2\times 2\times 5}$$
  • $${2\times 2\times 3}$$
Without actually performing the long division, state whether the following rational number will have a terminating decimal expansion or non -terminating decimal expansion
$$\displaystyle \frac{7}{210}$$
  • Terminating decimal expansion
  • Non -terminating decimal expansion
  • Cannot be determined
  • None
Prime factors of $$140$$ are :
  • $${2\times2\times 7}$$
  • $${2\times2\times5}$$
  • $${2\times2\times5\times7}$$
  • $${2\times2\times5\times7\times3}$$
Euclids division lemma, the general equation can be represented as .......
  • $$a = b\times q + r$$
  • $$a = b\div q + r$$
  • $$a = b- q - r$$
  • $$a = b + q - r$$
The statement dividend $$=$$ divisor $$\times$$ quotient $$+$$ remainder is called 
  • Euclid's multiplication Lemma
  • Euclid's addition Lemma
  • Euclid's subtraction Lemma
  • Euclid's division Lemma
$$(3 + \sqrt {5})$$ is .............. 
  • whole number
  • an integer
  • rational
  • irrational
$$2\times 2\times 2\times 3\times 3\times 13 = 2^{3} \times 3^{2} \times 13$$ is equal to
  • $$1004$$
  • $$828$$
  • $$724$$
  • $$936$$
Which option will have a terminating decimal expansion?
  • $$\dfrac {77}{210}$$
  • $$\dfrac {23}{30}$$
  • $$\dfrac {125}{441}$$
  • $$\dfrac {23}{8}$$
Fundamental theorem of arithmetic is also called as ______ Factorization Theorem.
  • Algebra
  • Ambiguous
  • Unique
  • None of these
We need blocks to build a building. In the same way _______ are the basic blocks to form all natural numbers.
  • prime numbers
  • real numbers
  • unique numbers
  • negative numbers
Using fundamental theorem of Arithmetic find L.C.M. and H.C.F of $$816$$ and $$170$$.
  • L.C.M. $$=4080$$ and H.C.F $$=34$$
  • L.C.M. $$=8160$$ and H.C.F $$=68$$
  • L.C.M. $$=2048$$ and H.C.F $$=62$$
  • L.C.M. $$=2040$$ and H.C.F $$=72$$
State whether the given statement is True or False :

$$2\sqrt { 3 }-1 $$ is an irrational number.
  • True
  • False
State true or false
$$\sqrt{2} + \dfrac{1}{\sqrt{2}}$$ is irrational.
  • True
  • False
Without actually dividing find which of the following are terminating decimals.
  • $$\dfrac{3}{25}$$
  • $$\dfrac{11}{18}$$
  • $$\dfrac{13}{20}$$
  • $$\dfrac{41}{42}$$
$$\sqrt { 7 }$$ is a
  • an integer
  • an irrational number
  • a rational number
  • none of these
State True or False:
$$4\, - \,5\sqrt 2 $$ is irrational if $$\sqrt 2 $$ is irrational.
  • True
  • False
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